Question

Which transformation or sequence of transformations would produce an image that is not congruent to its pre‐image?

a. A translation followed by a reflection
b. A rotation of 90 degrees about the origin
c. A dilation followed by a rotation
d. A translation of (x + 3, y + 4)

Answer 1

Option c, a dilation followed by a rotation, would produce an image that is not congruent to its pre-image.

Step-by-step explanation:

In order for an image to not be congruent to its pre‐image, we need to consider transformations that change the size, shape, and orientation of the figure. Option c, a dilation followed by a rotation, would produce an image that is not congruent to its pre-image. A dilation changes the size of the figure, while a rotation changes its orientation. By performing both of these transformations, the resulting image will have different size, shape, and orientation compared to its pre-image.